Wood drowned in November 1981 after going overboard while on her family’s yacht near Catalina Island, California. Her then-husband, Wagner, actor Christopher Walken and Capt. Dennis Davern also were on board. She was 43.

After a “48 Hours” report on Saturday detailed some of the new clues in the case, the Los Angeles Sheriffs’ Department followed up Monday morning with a press conference explaining the investigation’s current status “We’re closer to understanding what happened,” said LAPD Homicide Detective John Corina, although no charges are being filed as yet.

Corina added that Wagner is not legally required to speak with officials.

He said the information shared by Wagner regarding the events of that evening “doesn’t really add up.”

In 2012, the Los Angeles County coroner’s office changed the cause of death from “accidental drowning” to “drowning and other undetermined factors.” Investigators later cited the presence of bruises on Wood’s body as the reason for the change.

“There were bruises on Natalie Wood’s body,” Corina said in Monday’s conference. “They were probably caused by another person. I can’t say who caused the injuries.” An autopsy showed that Wood had a high alcohol level as well as prescription drugs in her system.